A direct variation is a mathematical relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other. In other words, a direct variation is where

.
In answer a,

, so it is a direct variation.
In answer c,

, so it is a direct variation.
In answer d,

, so it is a direct variation,
Only answer b is left, which means the answer must be 'b'.
We also know 'b' is the answer because it cannot be expressed as <span>

. Instead, it is expressed as </span>

, which is not the same thing and is therefore not a direct variation.
Hope I helped, and let me know if you have any questions :)
Answer:
120th caller
Step-by-step explanation:
120 is the common number by 40 and 30. trust me on this I'm really good at this subject in math.
0.006
That's you're answer
Answer:
32
Step-by-step explanation:
f(x)= 3(x-2)² + 5
Let x = -1
f(-1)= 3(-1-2)² + 5
Parentheses first
f(-1) = 3(-3)^2 +5
Exponents
f(-1)= 3*9 + 5
Multiply
f(-1) = 27+5
Add
f(-1) = 32
Cost of 2 1/2 yards= $15
cost of 1 yard=?
cost of one yard= 15/(2 1/2)
=15/5/2
=15/5*2
=3*2
=$ 6
so the cost of fabric for one yard will be $6